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Pascal’s Hearts • Complete the pattern by filling in the missing numbers of
Pascal’s Heart Triangle. • What Pascal patterns help you fill in the missing numbers? • Add the numbers in each row. Describe the pattern. • CHALLENGE: What numbers would be in the 8th row? Ex-
plain your thinking using numbers, words and/or pictures.
Pascal's Hearts 1 Kawas@Mathwire.com
Pascal’s Hearts
1 2
1
1 1
1
1
1
1
1
3 3
4 4 6
1 1 5 5 10 10
1 6 6 1515 20
1 21 7 35 21 35
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7 1
Row 1: sum = 1 or 20
Row 2: sum = 2 or 21
Row 2: sum = 4 or 22
Row 2: sum = 8 or 23
Row 2: sum = 16 or 24
Row Pattern: sum doubles for each row. General rule: sum = 2r-1 where r = row number.
Pascal's Hearts 1 Kawas@Mathwire.com
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